If SD of $X$ is $\sigma$ then SD of $\large\frac{aX+b}{c}$ ( where $a,b,c$ are constants ) is

Question

$\begin {array} {1 1} (A)\;\large\frac{a}{c} \sigma & \quad (B)\;|\large\frac{a}{c}| \sigma \\ (C)\;|\large\frac{c}{a}| \sigma & \quad (D)\;\large\frac{c}{a} \sigma \end {array}$